Question

Two numbers are such that the ratio between them is 2:5. If first number is decreased by 1 and second number is increased by 1, the ratio between the new numbers so formed is 1:3. Find the original numbers.

Answer 1

$\dfrac{x}{y}=\dfrac{2}{5}\\\dfrac{x-1}{y+1}=\dfrac{1}{3}\\\\\\5x=2y\\3(x-1)=y+1\\\\5x=2y\\3x-3=y+1\\\\5x=2y\\y=3x-4\\\\5x=2(3x-4)\\5x=6x-8\\x=8\\\\y=3\cdot 8-4=20$

8 and 20

Answer 2

Answer:

8 and 20

8 and 20 are int ratio 2:5

7(8-1) and 21(20+1) are in the ratio 1:3..

Hope this will help you